Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(143,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.ba (of order \(18\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 189) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 143.6 | ||
Character | \(\chi\) | \(=\) | 567.143 |
Dual form | 567.2.ba.a.341.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.02575 | + | 1.22245i | −0.725318 | + | 0.864400i | −0.995136 | − | 0.0985112i | \(-0.968592\pi\) |
0.269818 | + | 0.962911i | \(0.413036\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.0949069 | − | 0.538244i | −0.0474534 | − | 0.269122i | ||||
\(5\) | −1.45366 | + | 1.21977i | −0.650097 | + | 0.545497i | −0.907101 | − | 0.420914i | \(-0.861709\pi\) |
0.257003 | + | 0.966411i | \(0.417265\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.50057 | − | 0.864386i | −0.945126 | − | 0.326707i | ||||
\(8\) | −2.00866 | − | 1.15970i | −0.710170 | − | 0.410017i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 3.02821i | − | 0.957603i | ||||||
\(11\) | −0.811915 | + | 0.967602i | −0.244802 | + | 0.291743i | −0.874428 | − | 0.485155i | \(-0.838763\pi\) |
0.629627 | + | 0.776898i | \(0.283208\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.326917 | + | 0.898197i | −0.0906704 | + | 0.249115i | −0.976736 | − | 0.214445i | \(-0.931206\pi\) |
0.886066 | + | 0.463560i | \(0.153428\pi\) | |||||||
\(14\) | 3.62163 | − | 2.17016i | 0.967922 | − | 0.580000i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.50524 | − | 1.63977i | 1.12631 | − | 0.409944i | ||||
\(17\) | 4.01374 | 0.973474 | 0.486737 | − | 0.873549i | \(-0.338187\pi\) | ||||
0.486737 | + | 0.873549i | \(0.338187\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 7.67461i | − | 1.76068i | −0.474348 | − | 0.880338i | \(-0.657316\pi\) | ||
0.474348 | − | 0.880338i | \(-0.342684\pi\) | |||||||
\(20\) | 0.794495 | + | 0.666660i | 0.177654 | + | 0.149070i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.350017 | − | 1.98504i | −0.0746239 | − | 0.423213i | ||||
\(23\) | 1.95808 | − | 5.37979i | 0.408288 | − | 1.12176i | −0.549801 | − | 0.835295i | \(-0.685297\pi\) |
0.958090 | − | 0.286468i | \(-0.0924812\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.242940 | + | 1.37778i | −0.0485879 | + | 0.275556i | ||||
\(26\) | −0.762661 | − | 1.32097i | −0.149570 | − | 0.259063i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.227929 | + | 1.42795i | −0.0430745 | + | 0.269857i | ||||
\(29\) | 1.22870 | + | 3.37583i | 0.228164 | + | 0.626876i | 0.999960 | − | 0.00899503i | \(-0.00286324\pi\) |
−0.771795 | + | 0.635871i | \(0.780641\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.76565 | + | 1.54562i | −1.57436 | + | 0.277602i | −0.891524 | − | 0.452973i | \(-0.850363\pi\) |
−0.682833 | + | 0.730575i | \(0.739252\pi\) | |||||||
\(32\) | −1.03017 | + | 2.83037i | −0.182110 | + | 0.500343i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.11711 | + | 4.90658i | −0.706078 | + | 0.841471i | ||||
\(35\) | 4.68933 | − | 1.79359i | 0.792641 | − | 0.303171i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.99935 | − | 6.92708i | 0.657489 | − | 1.13880i | −0.323774 | − | 0.946134i | \(-0.604952\pi\) |
0.981264 | − | 0.192670i | \(-0.0617148\pi\) | |||||||
\(38\) | 9.38179 | + | 7.87226i | 1.52193 | + | 1.27705i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 4.33449 | − | 0.764287i | 0.685343 | − | 0.120844i | ||||
\(41\) | −3.01647 | − | 1.09790i | −0.471093 | − | 0.171464i | 0.0955544 | − | 0.995424i | \(-0.469538\pi\) |
−0.566647 | + | 0.823960i | \(0.691760\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.111496 | − | 0.632326i | 0.0170030 | − | 0.0964289i | −0.975125 | − | 0.221654i | \(-0.928854\pi\) |
0.992128 | + | 0.125226i | \(0.0399654\pi\) | |||||||
\(44\) | 0.597862 | + | 0.345176i | 0.0901311 | + | 0.0520372i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.56799 | + | 7.91199i | 0.673513 | + | 1.16656i | ||||
\(47\) | 1.48485 | − | 8.42098i | 0.216587 | − | 1.22833i | −0.661544 | − | 0.749906i | \(-0.730099\pi\) |
0.878131 | − | 0.478420i | \(-0.158790\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.50567 | + | 4.32291i | 0.786525 | + | 0.617558i | ||||
\(50\) | −1.43506 | − | 1.71024i | −0.202949 | − | 0.241865i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.514475 | + | 0.0907159i | 0.0713449 | + | 0.0125800i | ||||
\(53\) | −11.3329 | − | 6.54305i | −1.55669 | − | 0.898757i | −0.997570 | − | 0.0696726i | \(-0.977805\pi\) |
−0.559123 | − | 0.829085i | \(-0.688862\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 2.39691i | − | 0.323200i | ||||||
\(56\) | 4.02037 | + | 4.63618i | 0.537245 | + | 0.619535i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.38712 | − | 1.96075i | −0.707363 | − | 0.257459i | ||||
\(59\) | 2.02915 | + | 0.738551i | 0.264173 | + | 0.0961512i | 0.470711 | − | 0.882287i | \(-0.343997\pi\) |
−0.206538 | + | 0.978439i | \(0.566220\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.03575 | − | 0.535284i | −0.388688 | − | 0.0685361i | −0.0241106 | − | 0.999709i | \(-0.507675\pi\) |
−0.364577 | + | 0.931173i | \(0.618786\pi\) | |||||||
\(62\) | 7.10196 | − | 12.3010i | 0.901950 | − | 1.56222i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.39111 | + | 4.14152i | 0.298889 | + | 0.517690i | ||||
\(65\) | −0.620364 | − | 1.70444i | −0.0769467 | − | 0.211409i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.63854 | − | 1.37490i | 0.200180 | − | 0.167971i | −0.537187 | − | 0.843463i | \(-0.680513\pi\) |
0.737367 | + | 0.675492i | \(0.236069\pi\) | |||||||
\(68\) | −0.380931 | − | 2.16037i | −0.0461947 | − | 0.261983i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.61754 | + | 7.57223i | −0.312856 | + | 0.905055i | ||||
\(71\) | 0.154696 | − | 0.0893139i | 0.0183591 | − | 0.0105996i | −0.490792 | − | 0.871277i | \(-0.663293\pi\) |
0.509151 | + | 0.860677i | \(0.329959\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 9.96274 | − | 5.75199i | 1.16605 | − | 0.673220i | 0.213304 | − | 0.976986i | \(-0.431578\pi\) |
0.952747 | + | 0.303766i | \(0.0982442\pi\) | |||||||
\(74\) | 4.36563 | + | 11.9945i | 0.507494 | + | 1.39433i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.13081 | + | 0.728373i | −0.473836 | + | 0.0835501i | ||||
\(77\) | 2.86663 | − | 1.71775i | 0.326683 | − | 0.195756i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.935206 | − | 0.784731i | −0.105219 | − | 0.0882891i | 0.588661 | − | 0.808380i | \(-0.299655\pi\) |
−0.693879 | + | 0.720091i | \(0.744100\pi\) | |||||||
\(80\) | −4.54896 | + | 7.87903i | −0.508589 | + | 0.880902i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.43628 | − | 2.56129i | 0.489906 | − | 0.282847i | ||||
\(83\) | −5.11532 | + | 1.86183i | −0.561480 | + | 0.204362i | −0.607140 | − | 0.794595i | \(-0.707683\pi\) |
0.0456599 | + | 0.998957i | \(0.485461\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5.83462 | + | 4.89582i | −0.632853 | + | 0.531027i | ||||
\(86\) | 0.658617 | + | 0.784910i | 0.0710205 | + | 0.0846390i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.75300 | − | 1.00201i | 0.293470 | − | 0.106814i | ||||
\(89\) | −5.63916 | −0.597750 | −0.298875 | − | 0.954292i | \(-0.596611\pi\) | ||||
−0.298875 | + | 0.954292i | \(0.596611\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.59387 | − | 1.96342i | 0.167083 | − | 0.205822i | ||||
\(92\) | −3.08147 | − | 0.543347i | −0.321266 | − | 0.0566478i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 8.77111 | + | 10.4530i | 0.904671 | + | 1.07814i | ||||
\(95\) | 9.36123 | + | 11.1563i | 0.960442 | + | 1.14461i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.97585 | − | 1.05370i | −0.606755 | − | 0.106987i | −0.138174 | − | 0.990408i | \(-0.544123\pi\) |
−0.468581 | + | 0.883421i | \(0.655235\pi\) | |||||||
\(98\) | −10.9320 | + | 2.29615i | −1.10430 | + | 0.231946i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.764638 | 0.0764638 | ||||||||
\(101\) | −6.52215 | + | 2.37387i | −0.648978 | + | 0.236209i | −0.645470 | − | 0.763785i | \(-0.723339\pi\) |
−0.00350738 | + | 0.999994i | \(0.501116\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.28238 | − | 9.87055i | −0.816087 | − | 0.972574i | 0.183859 | − | 0.982953i | \(-0.441141\pi\) |
−0.999946 | + | 0.0103782i | \(0.996696\pi\) | |||||||
\(104\) | 1.69831 | − | 1.42505i | 0.166533 | − | 0.139738i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 19.6233 | − | 7.14230i | 1.90598 | − | 0.693721i | ||||
\(107\) | −1.24002 | + | 0.715923i | −0.119877 | + | 0.0692109i | −0.558739 | − | 0.829343i | \(-0.688715\pi\) |
0.438863 | + | 0.898554i | \(0.355381\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.946256 | + | 1.63896i | −0.0906349 | + | 0.156984i | −0.907778 | − | 0.419450i | \(-0.862223\pi\) |
0.817144 | + | 0.576434i | \(0.195556\pi\) | |||||||
\(110\) | 2.93010 | + | 2.45865i | 0.279374 | + | 0.234423i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −12.6831 | + | 0.206099i | −1.19844 | + | 0.0194745i | ||||
\(113\) | −0.855475 | + | 0.150843i | −0.0804763 | + | 0.0141901i | −0.213741 | − | 0.976890i | \(-0.568565\pi\) |
0.133265 | + | 0.991080i | \(0.457454\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.71570 | + | 10.2088i | 0.346491 | + | 0.951976i | ||||
\(116\) | 1.70041 | − | 0.981731i | 0.157879 | − | 0.0911514i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.98425 | + | 1.72296i | −0.274723 | + | 0.158611i | ||||
\(119\) | −10.0366 | − | 3.46942i | −0.920055 | − | 0.318041i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.63308 | + | 9.26166i | 0.148462 | + | 0.841969i | ||||
\(122\) | 3.76829 | − | 3.16197i | 0.341165 | − | 0.286271i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.66384 | + | 4.57136i | 0.149417 | + | 0.410521i | ||||
\(125\) | −6.07147 | − | 10.5161i | −0.543049 | − | 0.940588i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.79273 | + | 11.7654i | −0.602757 | + | 1.04401i | 0.389644 | + | 0.920965i | \(0.372598\pi\) |
−0.992402 | + | 0.123041i | \(0.960735\pi\) | |||||||
\(128\) | −13.4480 | − | 2.37124i | −1.18865 | − | 0.209590i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.71992 | + | 0.989972i | 0.238553 | + | 0.0868263i | ||||
\(131\) | −8.52376 | − | 3.10240i | −0.744725 | − | 0.271058i | −0.0583404 | − | 0.998297i | \(-0.518581\pi\) |
−0.686384 | + | 0.727239i | \(0.740803\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.63382 | + | 19.1909i | −0.575225 | + | 1.66406i | ||||
\(134\) | 3.41334i | 0.294867i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −8.06225 | − | 4.65474i | −0.691332 | − | 0.399141i | ||||
\(137\) | −19.7829 | − | 3.48826i | −1.69017 | − | 0.298022i | −0.755923 | − | 0.654660i | \(-0.772812\pi\) |
−0.934243 | + | 0.356638i | \(0.883923\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.91571 | − | 5.85831i | −0.416945 | − | 0.496895i | 0.516164 | − | 0.856490i | \(-0.327360\pi\) |
−0.933109 | + | 0.359594i | \(0.882915\pi\) | |||||||
\(140\) | −1.41044 | − | 2.35378i | −0.119204 | − | 0.198931i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.0494988 | + | 0.280722i | −0.00415385 | + | 0.0235577i | ||||
\(143\) | −0.603669 | − | 1.04558i | −0.0504813 | − | 0.0874362i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.90385 | − | 3.40859i | −0.490288 | − | 0.283068i | ||||
\(146\) | −3.18782 | + | 18.0790i | −0.263826 | + | 1.49623i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.10802 | − | 1.49520i | −0.337677 | − | 0.122904i | ||||
\(149\) | 7.28668 | − | 1.28484i | 0.596948 | − | 0.105258i | 0.132993 | − | 0.991117i | \(-0.457541\pi\) |
0.463955 | + | 0.885859i | \(0.346430\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.72726 | − | 3.96664i | −0.384699 | − | 0.322801i | 0.429845 | − | 0.902903i | \(-0.358568\pi\) |
−0.814544 | + | 0.580102i | \(0.803013\pi\) | |||||||
\(152\) | −8.90026 | + | 15.4157i | −0.721907 | + | 1.25038i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.840603 | + | 5.26629i | −0.0677377 | + | 0.424370i | ||||
\(155\) | 10.8570 | − | 12.9389i | 0.872055 | − | 1.03927i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.49586 | − | 17.8472i | 0.518426 | − | 1.42436i | −0.353828 | − | 0.935311i | \(-0.615120\pi\) |
0.872254 | − | 0.489053i | \(-0.162658\pi\) | |||||||
\(158\) | 1.91858 | − | 0.338298i | 0.152634 | − | 0.0269135i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.95487 | − | 5.37096i | −0.154546 | − | 0.424612i | ||||
\(161\) | −9.54653 | + | 11.7600i | −0.752372 | + | 0.926817i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.709039 | − | 1.22809i | −0.0555362 | − | 0.0961915i | 0.836921 | − | 0.547324i | \(-0.184353\pi\) |
−0.892457 | + | 0.451133i | \(0.851020\pi\) | |||||||
\(164\) | −0.304657 | + | 1.72779i | −0.0237897 | + | 0.134918i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.97108 | − | 8.16299i | 0.230601 | − | 0.633571i | ||||
\(167\) | −2.73878 | − | 15.5324i | −0.211933 | − | 1.20193i | −0.886150 | − | 0.463398i | \(-0.846630\pi\) |
0.674217 | − | 0.738533i | \(-0.264481\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.25869 | + | 7.76897i | 0.712207 | + | 0.597613i | ||||
\(170\) | − | 12.1544i | − | 0.932201i | ||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.350927 | −0.0267580 | ||||||||
\(173\) | 10.2513 | − | 3.73118i | 0.779394 | − | 0.283676i | 0.0784741 | − | 0.996916i | \(-0.474995\pi\) |
0.700920 | + | 0.713240i | \(0.252773\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.79842 | − | 3.23524i | 0.135948 | − | 0.244561i | ||||
\(176\) | −2.07122 | + | 5.69064i | −0.156124 | + | 0.428948i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 5.78440 | − | 6.89357i | 0.433559 | − | 0.516695i | ||||
\(179\) | 23.6413i | 1.76703i | 0.468403 | + | 0.883515i | \(0.344830\pi\) | ||||
−0.468403 | + | 0.883515i | \(0.655170\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −18.7421 | − | 10.8208i | −1.39309 | − | 0.804301i | −0.399434 | − | 0.916762i | \(-0.630793\pi\) |
−0.993656 | + | 0.112461i | \(0.964127\pi\) | |||||||
\(182\) | 0.765260 | + | 3.96240i | 0.0567248 | + | 0.293713i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −10.1721 | + | 8.53540i | −0.749896 | + | 0.629238i | ||||
\(185\) | 2.63572 | + | 14.9479i | 0.193782 | + | 1.09899i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.25881 | + | 3.88370i | −0.238308 | + | 0.284004i | ||||
\(188\) | −4.67346 | −0.340847 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −23.2403 | −1.68603 | ||||||||
\(191\) | 14.0821 | − | 16.7824i | 1.01894 | − | 1.21433i | 0.0423797 | − | 0.999102i | \(-0.486506\pi\) |
0.976564 | − | 0.215228i | \(-0.0690495\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.52946 | + | 14.3453i | 0.182074 | + | 1.03259i | 0.929657 | + | 0.368426i | \(0.120103\pi\) |
−0.747583 | + | 0.664169i | \(0.768786\pi\) | |||||||
\(194\) | 7.41785 | − | 6.22431i | 0.532570 | − | 0.446880i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.80425 | − | 3.37367i | 0.128875 | − | 0.240976i | ||||
\(197\) | 2.06396 | + | 1.19163i | 0.147051 | + | 0.0849001i | 0.571720 | − | 0.820449i | \(-0.306276\pi\) |
−0.424669 | + | 0.905349i | \(0.639610\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.2598i | 0.727298i | 0.931536 | + | 0.363649i | \(0.118469\pi\) | ||||
−0.931536 | + | 0.363649i | \(0.881531\pi\) | |||||||
\(200\) | 2.08580 | − | 2.48576i | 0.147488 | − | 0.175770i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.78819 | − | 10.4080i | 0.266536 | − | 0.732303i | ||||
\(203\) | −0.154432 | − | 9.50356i | −0.0108390 | − | 0.667019i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.72411 | − | 2.08341i | 0.399789 | − | 0.145511i | ||||
\(206\) | 20.5619 | 1.43262 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 4.58267i | 0.317751i | ||||||||
\(209\) | 7.42597 | + | 6.23113i | 0.513665 | + | 0.431016i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.98228 | − | 11.2421i | −0.136466 | − | 0.773938i | −0.973828 | − | 0.227288i | \(-0.927014\pi\) |
0.837361 | − | 0.546650i | \(-0.184097\pi\) | |||||||
\(212\) | −2.44619 | + | 6.72084i | −0.168005 | + | 0.461589i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.396774 | − | 2.25021i | 0.0271229 | − | 0.153821i | ||||
\(215\) | 0.609213 | + | 1.05519i | 0.0415480 | + | 0.0719632i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 23.2551 | + | 3.71197i | 1.57866 | + | 0.251985i | ||||
\(218\) | −1.03292 | − | 2.83792i | −0.0699581 | − | 0.192208i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.29012 | + | 0.227484i | −0.0869801 | + | 0.0153369i | ||||
\(221\) | −1.31216 | + | 3.60512i | −0.0882653 | + | 0.242507i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.05545 | + | 8.40836i | −0.472468 | + | 0.563065i | −0.948669 | − | 0.316271i | \(-0.897569\pi\) |
0.476201 | + | 0.879336i | \(0.342013\pi\) | |||||||
\(224\) | 5.02254 | − | 6.18706i | 0.335582 | − | 0.413390i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.693109 | − | 1.20050i | 0.0461049 | − | 0.0798561i | ||||
\(227\) | −11.5294 | − | 9.67429i | −0.765231 | − | 0.642105i | 0.174252 | − | 0.984701i | \(-0.444249\pi\) |
−0.939483 | + | 0.342596i | \(0.888694\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −22.1302 | + | 3.90215i | −1.46240 | + | 0.257861i | −0.847523 | − | 0.530758i | \(-0.821907\pi\) |
−0.614881 | + | 0.788620i | \(0.710796\pi\) | |||||||
\(230\) | −16.2911 | − | 5.92948i | −1.07420 | − | 0.390978i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.44691 | − | 8.20584i | 0.0949944 | − | 0.538740i | ||||
\(233\) | 25.4109 | + | 14.6710i | 1.66472 | + | 0.961128i | 0.970413 | + | 0.241452i | \(0.0776236\pi\) |
0.694310 | + | 0.719676i | \(0.255710\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 8.11317 | + | 14.0524i | 0.529245 | + | 0.916679i | ||||
\(236\) | 0.204940 | − | 1.16227i | 0.0133405 | − | 0.0756575i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 14.5363 | − | 8.71046i | 0.942247 | − | 0.564615i | ||||
\(239\) | 17.8608 | + | 21.2856i | 1.15532 | + | 1.37685i | 0.913655 | + | 0.406491i | \(0.133248\pi\) |
0.241661 | + | 0.970361i | \(0.422308\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.0739095 | + | 0.0130322i | 0.00476093 | + | 0.000839480i | 0.176028 | − | 0.984385i | \(-0.443675\pi\) |
−0.171267 | + | 0.985225i | \(0.554786\pi\) | |||||||
\(242\) | −12.9970 | − | 7.50384i | −0.835481 | − | 0.482365i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1.68477i | 0.107857i | ||||||||
\(245\) | −13.2763 | + | 0.431593i | −0.848194 | + | 0.0275735i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.89331 | + | 2.50896i | 0.438611 | + | 0.159641i | ||||
\(248\) | 19.3997 | + | 7.06092i | 1.23188 | + | 0.448369i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 19.0832 | + | 3.36488i | 1.20693 | + | 0.212814i | ||||
\(251\) | 9.64254 | − | 16.7014i | 0.608632 | − | 1.05418i | −0.382834 | − | 0.923817i | \(-0.625052\pi\) |
0.991466 | − | 0.130364i | \(-0.0416147\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.61570 | + | 6.26258i | 0.227317 | + | 0.393725i | ||||
\(254\) | −7.41484 | − | 20.3721i | −0.465248 | − | 1.27826i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 9.36627 | − | 7.85923i | 0.585392 | − | 0.491202i | ||||
\(257\) | 0.541867 | + | 3.07308i | 0.0338008 | + | 0.191694i | 0.997033 | − | 0.0769770i | \(-0.0245268\pi\) |
−0.963232 | + | 0.268671i | \(0.913416\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −15.9883 | + | 13.8646i | −0.993465 | + | 0.861507i | ||||
\(260\) | −0.858526 | + | 0.495670i | −0.0532435 | + | 0.0307402i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 12.5358 | − | 7.23755i | 0.774464 | − | 0.447137i | ||||
\(263\) | −1.49413 | − | 4.10510i | −0.0921322 | − | 0.253131i | 0.885064 | − | 0.465469i | \(-0.154114\pi\) |
−0.977196 | + | 0.212338i | \(0.931892\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 24.4552 | − | 4.31211i | 1.50227 | − | 0.264891i | ||||
\(266\) | −16.6551 | − | 27.7946i | −1.02119 | − | 1.70420i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.895540 | − | 0.751447i | −0.0547038 | − | 0.0459019i | ||||
\(269\) | −0.429514 | + | 0.743940i | −0.0261879 | + | 0.0453588i | −0.878822 | − | 0.477149i | \(-0.841670\pi\) |
0.852634 | + | 0.522508i | \(0.175003\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.73193 | − | 2.73198i | 0.287444 | − | 0.165956i | −0.349344 | − | 0.936994i | \(-0.613596\pi\) |
0.636789 | + | 0.771038i | \(0.280262\pi\) | |||||||
\(272\) | 18.0829 | − | 6.58162i | 1.09643 | − | 0.399069i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 24.5566 | − | 20.6054i | 1.48352 | − | 1.24482i | ||||
\(275\) | −1.13590 | − | 1.35371i | −0.0684971 | − | 0.0816317i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 18.3788 | − | 6.68933i | 1.10427 | − | 0.401923i | 0.275383 | − | 0.961334i | \(-0.411195\pi\) |
0.828890 | + | 0.559412i | \(0.188973\pi\) | |||||||
\(278\) | 12.2038 | 0.731934 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −11.4993 | − | 1.83552i | −0.687216 | − | 0.109693i | ||||
\(281\) | 13.1907 | + | 2.32587i | 0.786890 | + | 0.138750i | 0.552633 | − | 0.833425i | \(-0.313623\pi\) |
0.234257 | + | 0.972175i | \(0.424734\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6.91516 | + | 8.24117i | 0.411064 | + | 0.489886i | 0.931360 | − | 0.364099i | \(-0.118623\pi\) |
−0.520297 | + | 0.853986i | \(0.674179\pi\) | |||||||
\(284\) | −0.0627544 | − | 0.0747877i | −0.00372379 | − | 0.00443784i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.89739 | + | 0.334561i | 0.112195 | + | 0.0197830i | ||||
\(287\) | 6.59387 | + | 5.35278i | 0.389224 | + | 0.315964i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.889923 | −0.0523484 | ||||||||
\(290\) | 10.2227 | − | 3.72076i | 0.600298 | − | 0.218491i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −4.04151 | − | 4.81648i | −0.236511 | − | 0.281863i | ||||
\(293\) | −6.87623 | + | 5.76984i | −0.401714 | + | 0.337078i | −0.821156 | − | 0.570704i | \(-0.806670\pi\) |
0.419442 | + | 0.907782i | \(0.362226\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.85056 | + | 1.40149i | −0.224188 | + | 0.0815979i | ||||
\(296\) | −16.0667 | + | 9.27612i | −0.933858 | + | 0.539163i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.90370 | + | 10.2255i | −0.341992 | + | 0.592348i | ||||
\(299\) | 4.19198 | + | 3.51749i | 0.242428 | + | 0.203422i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.825378 | + | 1.48480i | −0.0475740 | + | 0.0855824i | ||||
\(302\) | 9.69802 | − | 1.71002i | 0.558058 | − | 0.0984007i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −12.5846 | − | 34.5760i | −0.721778 | − | 1.98307i | ||||
\(305\) | 5.06588 | − | 2.92478i | 0.290071 | − | 0.167473i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 17.4494 | − | 10.0744i | 0.995890 | − | 0.574977i | 0.0888603 | − | 0.996044i | \(-0.471678\pi\) |
0.907030 | + | 0.421067i | \(0.138344\pi\) | |||||||
\(308\) | −1.19663 | − | 1.37992i | −0.0681843 | − | 0.0786282i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.68046 | + | 26.5442i | 0.265832 | + | 1.50761i | ||||
\(311\) | 2.17551 | − | 1.82547i | 0.123362 | − | 0.103513i | −0.579020 | − | 0.815314i | \(-0.696565\pi\) |
0.702382 | + | 0.711801i | \(0.252120\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.18984 | − | 8.76400i | −0.180300 | − | 0.495371i | 0.816312 | − | 0.577611i | \(-0.196015\pi\) |
−0.996613 | + | 0.0822401i | \(0.973793\pi\) | |||||||
\(314\) | 15.1541 | + | 26.2477i | 0.855197 | + | 1.48124i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.333619 | + | 0.577845i | −0.0187675 | + | 0.0325063i | ||||
\(317\) | −17.3656 | − | 3.06203i | −0.975352 | − | 0.171981i | −0.336814 | − | 0.941571i | \(-0.609349\pi\) |
−0.638538 | + | 0.769590i | \(0.720460\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.26406 | − | 1.55199i | −0.238742 | − | 0.0868949i | ||||
\(320\) | −8.52756 | − | 3.10378i | −0.476705 | − | 0.173506i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −4.58356 | − | 23.7330i | −0.255432 | − | 1.32259i | ||||
\(323\) | − | 30.8038i | − | 1.71397i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.15810 | − | 0.668627i | −0.0642396 | − | 0.0370887i | ||||
\(326\) | 2.22858 | + | 0.392958i | 0.123429 | + | 0.0217639i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 4.78583 | + | 5.70353i | 0.264253 | + | 0.314925i | ||||
\(329\) | −10.9919 | + | 19.7738i | −0.606005 | + | 1.09016i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.75223 | − | 26.9513i | 0.261206 | − | 1.48138i | −0.518418 | − | 0.855128i | \(-0.673479\pi\) |
0.779624 | − | 0.626248i | \(-0.215410\pi\) | |||||||
\(332\) | 1.48760 | + | 2.57659i | 0.0816424 | + | 0.141409i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 21.7968 | + | 12.5844i | 1.19267 | + | 0.688588i | ||||
\(335\) | −0.704828 | + | 3.99728i | −0.0385089 | + | 0.218395i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −14.1672 | − | 5.15645i | −0.771738 | − | 0.280889i | −0.0740145 | − | 0.997257i | \(-0.523581\pi\) |
−0.697723 | + | 0.716368i | \(0.745803\pi\) | |||||||
\(338\) | −18.9943 | + | 3.34921i | −1.03315 | + | 0.182173i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.18889 | + | 2.67580i | 0.172942 | + | 0.145116i | ||||
\(341\) | 5.62141 | − | 9.73657i | 0.304417 | − | 0.527265i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.0307 | − | 15.5688i | −0.541604 | − | 0.840634i | ||||
\(344\) | −0.957269 | + | 1.14083i | −0.0516125 | + | 0.0615094i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −5.95418 | + | 16.3590i | −0.320099 | + | 0.879464i | ||||
\(347\) | 23.8521 | − | 4.20577i | 1.28045 | − | 0.225777i | 0.508278 | − | 0.861193i | \(-0.330282\pi\) |
0.772170 | + | 0.635416i | \(0.219171\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.92048 | + | 5.27647i | 0.102801 | + | 0.282443i | 0.980421 | − | 0.196914i | \(-0.0630921\pi\) |
−0.877620 | + | 0.479357i | \(0.840870\pi\) | |||||||
\(350\) | 2.11017 | + | 5.51703i | 0.112793 | + | 0.294898i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.90226 | − | 3.29481i | −0.101391 | − | 0.175614i | ||||
\(353\) | 3.76585 | − | 21.3572i | 0.200436 | − | 1.13673i | −0.704026 | − | 0.710174i | \(-0.748616\pi\) |
0.904462 | − | 0.426555i | \(-0.140273\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.115934 | + | 0.318526i | −0.00615313 | + | 0.0169056i | ||||
\(356\) | 0.535195 | + | 3.03524i | 0.0283653 | + | 0.160868i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −28.9002 | − | 24.2501i | −1.52742 | − | 1.28166i | ||||
\(359\) | 21.9401i | 1.15795i | 0.815344 | + | 0.578976i | \(0.196548\pi\) | ||||
−0.815344 | + | 0.578976i | \(0.803452\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −39.8996 | −2.09998 | ||||||||
\(362\) | 32.4526 | − | 11.8118i | 1.70567 | − | 0.620813i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.20807 | − | 0.671546i | −0.0633199 | − | 0.0351986i | ||||
\(365\) | −7.46637 | + | 20.5137i | −0.390808 | + | 1.07374i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 7.32658 | − | 8.73148i | 0.382444 | − | 0.455780i | −0.540140 | − | 0.841575i | \(-0.681629\pi\) |
0.922584 | + | 0.385796i | \(0.126073\pi\) | |||||||
\(368\) | − | 27.4481i | − | 1.43083i | ||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −20.9766 | − | 12.1109i | −1.09052 | − | 0.629613i | ||||
\(371\) | 22.6830 | + | 26.1573i | 1.17764 | + | 1.35802i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −28.7091 | + | 24.0898i | −1.48650 | + | 1.24732i | −0.587617 | + | 0.809139i | \(0.699934\pi\) |
−0.898885 | + | 0.438184i | \(0.855622\pi\) | |||||||
\(374\) | −1.40488 | − | 7.96745i | −0.0726444 | − | 0.411987i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −12.7484 | + | 15.1929i | −0.657448 | + | 0.783516i | ||||
\(377\) | −3.43384 | −0.176852 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.71335 | 0.242108 | 0.121054 | − | 0.992646i | \(-0.461373\pi\) | ||||
0.121054 | + | 0.992646i | \(0.461373\pi\) | |||||||
\(380\) | 5.11635 | − | 6.09743i | 0.262463 | − | 0.312792i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 6.07079 | + | 34.4292i | 0.310609 | + | 1.76155i | ||||
\(383\) | −5.74641 | + | 4.82181i | −0.293628 | + | 0.246383i | −0.777686 | − | 0.628653i | \(-0.783607\pi\) |
0.484058 | + | 0.875036i | \(0.339162\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.07186 | + | 5.99365i | −0.105592 | + | 0.305464i | ||||
\(386\) | −20.1309 | − | 11.6226i | −1.02464 | − | 0.591574i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.31647i | 0.168368i | ||||||||
\(389\) | −14.8316 | + | 17.6756i | −0.751993 | + | 0.896190i | −0.997313 | − | 0.0732516i | \(-0.976662\pi\) |
0.245320 | + | 0.969442i | \(0.421107\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 7.85923 | − | 21.5931i | 0.397458 | − | 1.09201i | ||||
\(392\) | −6.04576 | − | 15.0682i | −0.305357 | − | 0.761060i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −3.57382 | + | 1.30076i | −0.180047 | + | 0.0655316i | ||||
\(395\) | 2.31666 | 0.116564 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 17.4192i | − | 0.874245i | −0.899402 | − | 0.437122i | \(-0.855998\pi\) | ||
0.899402 | − | 0.437122i | \(-0.144002\pi\) | |||||||
\(398\) | −12.5421 | − | 10.5240i | −0.628677 | − | 0.527522i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.16475 | + | 6.60560i | 0.0582373 | + | 0.330280i | ||||
\(401\) | −7.35970 | + | 20.2206i | −0.367526 | + | 1.00977i | 0.608773 | + | 0.793344i | \(0.291662\pi\) |
−0.976299 | + | 0.216425i | \(0.930560\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.47737 | − | 8.37857i | 0.0735929 | − | 0.417366i | ||||
\(404\) | 1.89672 | + | 3.28521i | 0.0943651 | + | 0.163445i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 11.7760 | + | 9.55954i | 0.584433 | + | 0.474432i | ||||
\(407\) | 3.45553 | + | 9.49398i | 0.171284 | + | 0.470599i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 26.2126 | − | 4.62199i | 1.29613 | − | 0.228543i | 0.517314 | − | 0.855796i | \(-0.326932\pi\) |
0.778815 | + | 0.627253i | \(0.215821\pi\) | |||||||
\(410\) | −3.32468 | + | 9.13448i | −0.164194 | + | 0.451120i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.52671 | + | 5.39472i | −0.223015 | + | 0.265779i | ||||
\(413\) | −4.43564 | − | 3.60077i | −0.218264 | − | 0.177182i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.16496 | − | 8.94597i | 0.253538 | − | 0.439140i | ||||
\(416\) | −2.20545 | − | 1.85059i | −0.108131 | − | 0.0907326i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −15.2344 | + | 2.68624i | −0.745140 | + | 0.131388i | ||||
\(419\) | 5.47160 | + | 1.99150i | 0.267305 | + | 0.0972911i | 0.472196 | − | 0.881494i | \(-0.343462\pi\) |
−0.204890 | + | 0.978785i | \(0.565684\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.858573 | + | 4.86921i | −0.0418443 | + | 0.237311i | −0.998556 | − | 0.0537277i | \(-0.982890\pi\) |
0.956711 | + | 0.291039i | \(0.0940008\pi\) | |||||||
\(422\) | 15.7762 | + | 9.10839i | 0.767973 | + | 0.443389i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 15.1760 | + | 26.2856i | 0.737011 | + | 1.27654i | ||||
\(425\) | −0.975096 | + | 5.53004i | −0.0472991 | + | 0.268246i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.12840 | + | 3.96257i | 0.344968 | + | 0.191762i | ||||
\(428\) | 0.503027 | + | 0.599485i | 0.0243147 | + | 0.0289772i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.91481 | − | 0.337633i | −0.0923405 | − | 0.0162821i | ||||
\(431\) | 10.1898 | + | 5.88309i | 0.490826 | + | 0.283378i | 0.724917 | − | 0.688836i | \(-0.241878\pi\) |
−0.234091 | + | 0.972215i | \(0.575211\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 28.6389i | 1.37630i | 0.725569 | + | 0.688150i | \(0.241577\pi\) | ||||
−0.725569 | + | 0.688150i | \(0.758423\pi\) | |||||||
\(434\) | −28.3917 | + | 24.6205i | −1.36285 | + | 1.18182i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.971968 | + | 0.353767i | 0.0465488 | + | 0.0169424i | ||||
\(437\) | −41.2878 | − | 15.0275i | −1.97506 | − | 0.718863i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 10.5707 | + | 1.86390i | 0.504513 | + | 0.0889593i | 0.420111 | − | 0.907473i | \(-0.361991\pi\) |
0.0844017 | + | 0.996432i | \(0.473102\pi\) | |||||||
\(440\) | −2.77971 | + | 4.81460i | −0.132517 | + | 0.229527i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −3.06112 | − | 5.30202i | −0.145603 | − | 0.252191i | ||||
\(443\) | −5.48081 | − | 15.0584i | −0.260401 | − | 0.715447i | −0.999140 | − | 0.0414550i | \(-0.986801\pi\) |
0.738739 | − | 0.673991i | \(-0.235422\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 8.19744 | − | 6.87847i | 0.388596 | − | 0.326071i | ||||
\(446\) | −3.04161 | − | 17.2498i | −0.144024 | − | 0.816802i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.39926 | − | 12.4230i | −0.113354 | − | 0.586931i | ||||
\(449\) | 15.5368 | − | 8.97017i | 0.733226 | − | 0.423328i | −0.0863750 | − | 0.996263i | \(-0.527528\pi\) |
0.819601 | + | 0.572934i | \(0.194195\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.51145 | − | 2.02734i | 0.165348 | − | 0.0954635i | ||||
\(452\) | 0.162381 | + | 0.446138i | 0.00763775 | + | 0.0209846i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 23.6526 | − | 4.17059i | 1.11007 | − | 0.195736i | ||||
\(455\) | 0.0779720 | + | 4.79829i | 0.00365538 | + | 0.224948i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −17.5604 | − | 14.7349i | −0.821441 | − | 0.689271i | 0.131868 | − | 0.991267i | \(-0.457902\pi\) |
−0.953309 | + | 0.301997i | \(0.902347\pi\) | |||||||
\(458\) | 17.9300 | − | 31.0556i | 0.837813 | − | 1.45113i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 5.14218 | − | 2.96884i | 0.239755 | − | 0.138423i | ||||
\(461\) | 11.2905 | − | 4.10942i | 0.525852 | − | 0.191395i | −0.0654330 | − | 0.997857i | \(-0.520843\pi\) |
0.591285 | + | 0.806462i | \(0.298621\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.859491 | + | 0.721198i | −0.0399439 | + | 0.0335169i | −0.662541 | − | 0.749026i | \(-0.730522\pi\) |
0.622597 | + | 0.782543i | \(0.286078\pi\) | |||||||
\(464\) | 11.0712 | + | 13.1941i | 0.513968 | + | 0.612523i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −43.9998 | + | 16.0146i | −2.03825 | + | 0.741863i | ||||
\(467\) | 13.1684 | 0.609360 | 0.304680 | − | 0.952455i | \(-0.401450\pi\) | ||||
0.304680 | + | 0.952455i | \(0.401450\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −5.28573 | + | 2.02170i | −0.244072 | + | 0.0933533i | ||||
\(470\) | −25.5005 | − | 4.49642i | −1.17625 | − | 0.207404i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.21939 | − | 3.83672i | −0.148184 | − | 0.176599i | ||||
\(473\) | 0.521315 | + | 0.621279i | 0.0239701 | + | 0.0285664i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 10.5739 | + | 1.86447i | 0.485164 | + | 0.0855476i | ||||
\(476\) | −0.914847 | + | 5.73142i | −0.0419319 | + | 0.262699i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −44.3413 | −2.02812 | ||||||||
\(479\) | −21.0370 | + | 7.65686i | −0.961207 | + | 0.349851i | −0.774506 | − | 0.632566i | \(-0.782002\pi\) |
−0.186701 | + | 0.982417i | \(0.559779\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.91442 | + | 5.85678i | 0.224078 | + | 0.267046i | ||||
\(482\) | −0.0917442 | + | 0.0769825i | −0.00417883 | + | 0.00350646i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.83004 | − | 1.75799i | 0.219547 | − | 0.0799087i | ||||
\(485\) | 9.97214 | − | 5.75742i | 0.452811 | − | 0.261431i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 14.1370 | − | 24.4860i | 0.640609 | − | 1.10957i | −0.344688 | − | 0.938717i | \(-0.612015\pi\) |
0.985297 | − | 0.170850i | \(-0.0546514\pi\) | |||||||
\(488\) | 5.47703 | + | 4.59577i | 0.247934 | + | 0.208041i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 13.0907 | − | 16.6723i | 0.591376 | − | 0.753178i | ||||
\(491\) | −36.4384 | + | 6.42508i | −1.64444 | + | 0.289960i | −0.917796 | − | 0.397052i | \(-0.870033\pi\) |
−0.726647 | + | 0.687012i | \(0.758922\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4.93168 | + | 13.5497i | 0.222112 | + | 0.610247i | ||||
\(494\) | −10.1379 | + | 5.85312i | −0.456126 | + | 0.263344i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −36.9569 | + | 21.3371i | −1.65941 | + | 0.958063i | ||||
\(497\) | −0.464030 | + | 0.0896182i | −0.0208146 | + | 0.00401993i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.84889 | − | 16.1568i | −0.127534 | − | 0.723279i | −0.979771 | − | 0.200123i | \(-0.935866\pi\) |
0.852237 | − | 0.523156i | \(-0.175245\pi\) | |||||||
\(500\) | −5.08400 | + | 4.26598i | −0.227363 | + | 0.190780i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 10.5257 | + | 28.9190i | 0.469783 | + | 1.29072i | ||||
\(503\) | −4.98173 | − | 8.62860i | −0.222124 | − | 0.384730i | 0.733329 | − | 0.679874i | \(-0.237966\pi\) |
−0.955453 | + | 0.295144i | \(0.904632\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.58543 | − | 11.4063i | 0.293048 | − | 0.507574i | ||||
\(506\) | −11.3645 | − | 2.00386i | −0.505213 | − | 0.0890827i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 6.97730 | + | 2.53953i | 0.309568 | + | 0.112673i | ||||
\(509\) | −6.46284 | − | 2.35228i | −0.286461 | − | 0.104263i | 0.194794 | − | 0.980844i | \(-0.437596\pi\) |
−0.481254 | + | 0.876581i | \(0.659819\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −29.8844 | + | 5.77159i | −1.32201 | + | 0.255320i | ||||
\(512\) | − | 7.79950i | − | 0.344692i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.31250 | − | 2.48982i | −0.190216 | − | 0.109821i | ||||
\(515\) | 24.0796 | + | 4.24588i | 1.06107 | + | 0.187096i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.94259 | + | 8.27386i | 0.305335 | + | 0.363884i | ||||
\(518\) | −0.548705 | − | 33.7666i | −0.0241087 | − | 1.48362i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.730537 | + | 4.14308i | −0.0320362 | + | 0.181686i | ||||
\(521\) | 6.74329 | + | 11.6797i | 0.295429 | + | 0.511698i | 0.975085 | − | 0.221833i | \(-0.0712041\pi\) |
−0.679656 | + | 0.733531i | \(0.737871\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 30.3095 | + | 17.4992i | 1.32534 | + | 0.765188i | 0.984576 | − | 0.174960i | \(-0.0559796\pi\) |
0.340768 | + | 0.940147i | \(0.389313\pi\) | |||||||
\(524\) | −0.860881 | + | 4.88230i | −0.0376078 | + | 0.213284i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 6.55088 | + | 2.38432i | 0.285632 | + | 0.103961i | ||||
\(527\) | −35.1830 | + | 6.20371i | −1.53260 | + | 0.270238i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.48901 | − | 6.28403i | −0.325609 | − | 0.273219i | ||||
\(530\) | −19.8137 | + | 34.3183i | −0.860652 | + | 1.49069i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 10.9590 | + | 1.74927i | 0.475131 | + | 0.0758403i | ||||
\(533\) | 1.97227 | − | 2.35046i | 0.0854284 | − | 0.101810i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.929304 | − | 2.55324i | 0.0401773 | − | 0.110386i | ||||
\(536\) | −4.88576 | + | 0.861490i | −0.211032 | + | 0.0372107i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.468851 | − | 1.28816i | −0.0202136 | − | 0.0555364i | ||||
\(539\) | −8.65300 | + | 1.81747i | −0.372711 | + | 0.0782840i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.619421 | + | 1.07287i | 0.0266310 | + | 0.0461262i | 0.879034 | − | 0.476760i | \(-0.158189\pi\) |
−0.852403 | + | 0.522886i | \(0.824855\pi\) | |||||||
\(542\) | −1.51410 | + | 8.58688i | −0.0650361 | + | 0.368838i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.13483 | + | 11.3603i | −0.177279 | + | 0.487071i | ||||
\(545\) | −0.623617 | − | 3.53671i | −0.0267128 | − | 0.151496i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 21.3784 | + | 17.9386i | 0.914076 | + | 0.767000i | 0.972890 | − | 0.231269i | \(-0.0742876\pi\) |
−0.0588145 | + | 0.998269i | \(0.518732\pi\) | |||||||
\(548\) | 10.9791i | 0.469003i | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.81999 | 0.120245 | ||||||||
\(551\) | 25.9082 | − | 9.42980i | 1.10372 | − | 0.401723i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.66024 | + | 2.77065i | 0.0706004 | + | 0.117820i | ||||
\(554\) | −10.6748 | + | 29.3287i | −0.453527 | + | 1.24606i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.68666 | + | 3.20184i | −0.113940 | + | 0.135788i | ||||
\(557\) | 3.08064i | 0.130531i | 0.997868 | + | 0.0652654i | \(0.0207894\pi\) | ||||
−0.997868 | + | 0.0652654i | \(0.979211\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.531504 | + | 0.306864i | 0.0224802 | + | 0.0129790i | ||||
\(560\) | 18.1855 | − | 15.7700i | 0.768478 | − | 0.666404i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −16.3736 | + | 13.7391i | −0.690681 | + | 0.579550i | ||||
\(563\) | 0.842562 | + | 4.77841i | 0.0355098 | + | 0.201386i | 0.997401 | − | 0.0720452i | \(-0.0229526\pi\) |
−0.961892 | + | 0.273431i | \(0.911841\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.05958 | − | 1.26276i | 0.0445768 | − | 0.0531245i | ||||
\(566\) | −17.1676 | −0.721610 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.414310 | −0.0173841 | ||||||||
\(569\) | −5.87514 | + | 7.00171i | −0.246298 | + | 0.293527i | −0.875003 | − | 0.484117i | \(-0.839141\pi\) |
0.628705 | + | 0.777644i | \(0.283585\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.38382 | − | 41.8757i | −0.309003 | − | 1.75244i | −0.604036 | − | 0.796957i | \(-0.706442\pi\) |
0.295033 | − | 0.955487i | \(-0.404669\pi\) | |||||||
\(572\) | −0.505487 | + | 0.424154i | −0.0211355 | + | 0.0177348i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −13.3072 | + | 2.57002i | −0.555431 | + | 0.107270i | ||||
\(575\) | 6.93646 | + | 4.00477i | 0.289271 | + | 0.167010i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 36.8985i | 1.53611i | 0.640386 | + | 0.768053i | \(0.278774\pi\) | ||||
−0.640386 | + | 0.768053i | \(0.721226\pi\) | |||||||
\(578\) | 0.912842 | − | 1.08788i | 0.0379692 | − | 0.0452500i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.27433 | + | 3.50121i | −0.0529139 | + | 0.145380i | ||||
\(581\) | 14.4005 | − | 0.234008i | 0.597435 | − | 0.00970829i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 15.5324 | − | 5.65334i | 0.643287 | − | 0.234137i | ||||
\(584\) | −26.6824 | −1.10413 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | − | 14.3243i | − | 0.591730i | ||||||
\(587\) | −21.4793 | − | 18.0233i | −0.886545 | − | 0.743900i | 0.0809690 | − | 0.996717i | \(-0.474199\pi\) |
−0.967514 | + | 0.252817i | \(0.918643\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 11.8620 | + | 67.2729i | 0.488766 | + | 2.77193i | ||||
\(590\) | 2.23648 | − | 6.14469i | 0.0920746 | − | 0.252973i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 6.65920 | − | 37.7662i | 0.273691 | − | 1.55218i | ||||
\(593\) | 12.0746 | + | 20.9138i | 0.495845 | + | 0.858828i | 0.999989 | − | 0.00479135i | \(-0.00152514\pi\) |
−0.504144 | + | 0.863620i | \(0.668192\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 18.8217 | − | 7.19898i | 0.771616 | − | 0.295129i | ||||
\(596\) | −1.38311 | − | 3.80007i | −0.0566545 | − | 0.155657i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −8.59988 | + | 1.51639i | −0.351675 | + | 0.0620098i | ||||
\(599\) | 12.4973 | − | 34.3360i | 0.510625 | − | 1.40293i | −0.369963 | − | 0.929046i | \(-0.620630\pi\) |
0.880588 | − | 0.473883i | \(-0.157148\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.41347 | − | 8.83503i | 0.302402 | − | 0.360388i | −0.593349 | − | 0.804945i | \(-0.702195\pi\) |
0.895750 | + | 0.444557i | \(0.146639\pi\) | |||||||
\(602\) | −0.968453 | − | 2.53202i | −0.0394712 | − | 0.103197i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −1.68637 | + | 2.92088i | −0.0686175 | + | 0.118849i | ||||
\(605\) | −13.6710 | − | 11.4714i | −0.555806 | − | 0.466377i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −23.6818 | + | 4.17574i | −0.961215 | + | 0.169488i | −0.632173 | − | 0.774827i | \(-0.717837\pi\) |
−0.329042 | + | 0.944315i | \(0.606726\pi\) | |||||||
\(608\) | 21.7219 | + | 7.90614i | 0.880941 | + | 0.320636i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.62095 | + | 9.19287i | −0.0656304 | + | 0.372208i | ||||
\(611\) | 7.07828 | + | 4.08664i | 0.286356 | + | 0.165328i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 16.8432 | + | 29.1732i | 0.680289 | + | 1.17830i | 0.974893 | + | 0.222676i | \(0.0714790\pi\) |
−0.294604 | + | 0.955620i | \(0.595188\pi\) | |||||||
\(614\) | −5.58336 | + | 31.6648i | −0.225326 | + | 1.27789i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −7.75017 | + | 0.125940i | −0.312263 | + | 0.00507426i | ||||
\(617\) | −5.69508 | − | 6.78713i | −0.229275 | − | 0.273240i | 0.639126 | − | 0.769102i | \(-0.279296\pi\) |
−0.868401 | + | 0.495863i | \(0.834852\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3.94848 | − | 0.696223i | −0.158703 | − | 0.0279836i | 0.0937322 | − | 0.995597i | \(-0.470120\pi\) |
−0.252435 | + | 0.967614i | \(0.581231\pi\) | |||||||
\(620\) | −7.99466 | − | 4.61572i | −0.321073 | − | 0.185372i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 4.53193i | 0.181714i | ||||||||
\(623\) | 14.1011 | + | 4.87441i | 0.564949 | + | 0.195289i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.0798 | + | 5.48858i | 0.603190 | + | 0.219543i | ||||
\(626\) | 13.9855 | + | 5.09031i | 0.558973 | + | 0.203450i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −10.2227 | − | 1.80253i | −0.407929 | − | 0.0719288i | ||||
\(629\) | 16.0523 | − | 27.8035i | 0.640049 | − | 1.10860i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.55511 | − | 11.3538i | −0.260955 | − | 0.451987i | 0.705541 | − | 0.708669i | \(-0.250704\pi\) |
−0.966496 | + | 0.256682i | \(0.917371\pi\) | |||||||
\(632\) | 0.968460 | + | 2.66082i | 0.0385233 | + | 0.105842i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 21.5561 | − | 18.0877i | 0.856100 | − | 0.718354i | ||||
\(635\) | −4.47666 | − | 25.3884i | −0.177651 | − | 1.00751i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.68272 | + | 3.53195i | −0.225158 | + | 0.139941i | ||||
\(638\) | 6.27111 | − | 3.62063i | 0.248276 | − | 0.143342i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 22.4412 | − | 12.9564i | 0.887066 | − | 0.512148i | ||||
\(641\) | −2.73177 | − | 7.50547i | −0.107898 | − | 0.296448i | 0.873980 | − | 0.485963i | \(-0.161531\pi\) |
−0.981878 | + | 0.189514i | \(0.939309\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −38.0449 | + | 6.70834i | −1.50034 | + | 0.264551i | −0.862675 | − | 0.505759i | \(-0.831213\pi\) |
−0.637669 | + | 0.770310i | \(0.720101\pi\) | |||||||
\(644\) | 7.23577 | + | 4.02226i | 0.285129 | + | 0.158499i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 37.6560 | + | 31.5972i | 1.48156 | + | 1.24317i | ||||
\(647\) | −19.9091 | + | 34.4836i | −0.782707 | + | 1.35569i | 0.147652 | + | 0.989039i | \(0.452829\pi\) |
−0.930359 | + | 0.366650i | \(0.880505\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.36212 | + | 1.36377i | −0.0927214 | + | 0.0535327i | ||||
\(650\) | 2.00528 | − | 0.729863i | 0.0786536 | − | 0.0286276i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.593720 | + | 0.498190i | −0.0232519 | + | 0.0195106i | ||||
\(653\) | 18.7469 | + | 22.3417i | 0.733623 | + | 0.874298i | 0.995878 | − | 0.0907005i | \(-0.0289106\pi\) |
−0.262255 | + | 0.964999i | \(0.584466\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 16.1749 | − | 5.88717i | 0.632005 | − | 0.230031i | ||||
\(656\) | −15.3902 | −0.600888 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −12.8973 | − | 33.7201i | −0.502790 | − | 1.31454i | ||||
\(659\) | −20.9180 | − | 3.68841i | −0.814851 | − | 0.143680i | −0.249335 | − | 0.968417i | \(-0.580212\pi\) |
−0.565516 | + | 0.824737i | \(0.691323\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −14.2388 | − | 16.9691i | −0.553824 | − | 0.660021i | 0.414404 | − | 0.910093i | \(-0.363990\pi\) |
−0.968227 | + | 0.250072i | \(0.919546\pi\) | |||||||
\(662\) | 28.0718 | + | 33.4547i | 1.09104 | + | 1.30025i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 12.4341 | + | 2.19247i | 0.482538 | + | 0.0850845i | ||||
\(665\) | −13.7651 | − | 35.9888i | −0.533786 | − | 1.39558i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 20.5672 | 0.796363 | ||||||||
\(668\) | −8.10028 | + | 2.94826i | −0.313409 | + | 0.114072i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −4.16348 | − | 4.96184i | −0.160849 | − | 0.191693i | ||||
\(671\) | 2.98271 | − | 2.50279i | 0.115146 | − | 0.0966192i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 15.9545 | − | 5.80696i | 0.615000 | − | 0.223842i | −0.0156895 | − | 0.999877i | \(-0.504994\pi\) |
0.630690 | + | 0.776035i | \(0.282772\pi\) | |||||||
\(674\) | 20.8356 | − | 12.0294i | 0.802556 | − | 0.463356i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.30288 | − | 5.72076i | 0.127034 | − | 0.220029i | ||||
\(677\) | −32.1184 | − | 26.9506i | −1.23441 | − | 1.03579i | −0.997940 | − | 0.0641557i | \(-0.979565\pi\) |
−0.236471 | − | 0.971638i | \(-0.575991\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 14.0322 | + | 7.80029i | 0.538507 | + | 0.299348i | ||||
\(680\) | 17.3975 | − | 3.06765i | 0.667163 | − | 0.117639i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 6.13625 | + | 16.8592i | 0.234969 | + | 0.645572i | ||||
\(683\) | −1.35935 | + | 0.784820i | −0.0520140 | + | 0.0300303i | −0.525782 | − | 0.850620i | \(-0.676227\pi\) |
0.473767 | + | 0.880650i | \(0.342894\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 33.0125 | − | 19.0598i | 1.26134 | − | 0.728236i | ||||
\(686\) | 29.3209 | + | 3.70778i | 1.11948 | + | 0.141564i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.534555 | − | 3.03161i | −0.0203797 | − | 0.115579i | ||||
\(689\) | 9.58186 | − | 8.04014i | 0.365040 | − | 0.306305i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 12.6872 | + | 34.8577i | 0.482643 | + | 1.32605i | 0.907219 | + | 0.420658i | \(0.138201\pi\) |
−0.424577 | + | 0.905392i | \(0.639577\pi\) | |||||||
\(692\) | −2.98121 | − | 5.16360i | −0.113328 | − | 0.196291i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −19.3251 | + | 33.4720i | −0.733569 | + | 1.27058i | ||||
\(695\) | 14.2916 | + | 2.51999i | 0.542109 | + | 0.0955885i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −12.1073 | − | 4.40670i | −0.458597 | − | 0.166916i | ||||
\(698\) | −8.42014 | − | 3.06468i | −0.318707 | − | 0.116000i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.91203 | − | 0.660942i | −0.0722679 | − | 0.0249813i | ||||
\(701\) | 8.24161i | 0.311281i | 0.987814 | + | 0.155641i | \(0.0497442\pi\) | ||||
−0.987814 | + | 0.155641i | \(0.950256\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −53.1626 | − | 30.6934i | −2.00506 | − | 1.15762i | ||||
\(704\) | −5.94872 | − | 1.04892i | −0.224201 | − | 0.0395327i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 22.2452 | + | 26.5108i | 0.837209 | + | 0.997747i | ||||
\(707\) | 18.3610 | − | 0.298365i | 0.690537 | − | 0.0112212i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.29888 | − | 13.0376i | 0.0863361 | − | 0.489636i | −0.910724 | − | 0.413015i | \(-0.864476\pi\) |
0.997060 | − | 0.0766212i | \(-0.0244132\pi\) | |||||||
\(710\) | −0.270461 | − | 0.468452i | −0.0101502 | − | 0.0175807i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 11.3272 | + | 6.53976i | 0.424504 | + | 0.245088i | ||||
\(713\) | −8.84875 | + | 50.1838i | −0.331388 | + | 1.87940i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.15290 | + | 0.783592i | 0.0805139 | + | 0.0293047i | ||||
\(716\) | 12.7248 | − | 2.24372i | 0.475546 | − | 0.0838517i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −26.8206 | − | 22.5051i | −1.00093 | − | 0.839884i | ||||
\(719\) | −5.67371 | + | 9.82715i | −0.211594 | + | 0.366491i | −0.952213 | − | 0.305433i | \(-0.901199\pi\) |
0.740620 | + | 0.671924i | \(0.234532\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 12.1787 | + | 31.8411i | 0.453558 | + | 1.18583i | ||||
\(722\) | 40.9271 | − | 48.7751i | 1.52315 | − | 1.81522i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −4.04545 | + | 11.1148i | −0.150348 | + | 0.413078i | ||||
\(725\) | −4.94965 | + | 0.872757i | −0.183825 | + | 0.0324134i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 7.94102 | + | 21.8178i | 0.294516 | + | 0.809176i | 0.995392 | + | 0.0958928i | \(0.0305706\pi\) |
−0.700876 | + | 0.713284i | \(0.747207\pi\) | |||||||
\(728\) | −5.47853 | + | 2.09544i | −0.203048 | + | 0.0776622i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −17.4182 | − | 30.1692i | −0.644677 | − | 1.11661i | ||||
\(731\) | 0.447516 | − | 2.53799i | 0.0165520 | − | 0.0938710i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 5.56879 | − | 15.3001i | 0.205688 | − | 0.565123i | −0.793360 | − | 0.608753i | \(-0.791670\pi\) |
0.999048 | + | 0.0436299i | \(0.0138922\pi\) | |||||||
\(734\) | 3.15849 | + | 17.9127i | 0.116582 | + | 0.661170i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 13.2096 | + | 11.0842i | 0.486913 | + | 0.408568i | ||||
\(737\) | 2.70176i | 0.0995205i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −10.8959 | −0.400813 | −0.200406 | − | 0.979713i | \(-0.564226\pi\) | ||||
−0.200406 | + | 0.979713i | \(0.564226\pi\) | |||||||
\(740\) | 7.79547 | − | 2.83732i | 0.286567 | − | 0.104302i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −55.2431 | + | 0.897697i | −2.02804 | + | 0.0329555i | ||||
\(743\) | 16.4197 | − | 45.1128i | 0.602381 | − | 1.65503i | −0.144054 | − | 0.989570i | \(-0.546014\pi\) |
0.746435 | − | 0.665458i | \(-0.231764\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −9.02517 | + | 10.7558i | −0.330657 | + | 0.394061i | ||||
\(746\) | − | 59.8056i | − | 2.18964i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2.39966 | + | 1.38544i | 0.0877403 | + | 0.0506569i | ||||
\(749\) | 3.71958 | − | 0.718363i | 0.135910 | − | 0.0262484i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 16.0679 | − | 13.4826i | 0.586328 | − | 0.491987i | −0.300690 | − | 0.953722i | \(-0.597217\pi\) |
0.887018 | + | 0.461734i | \(0.152773\pi\) | |||||||
\(752\) | −7.11892 | − | 40.3734i | −0.259600 | − | 1.47227i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 3.52228 | − | 4.19769i | 0.128274 | − | 0.152871i | ||||
\(755\) | 11.7102 | 0.426179 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −24.6333 | −0.895314 | −0.447657 | − | 0.894205i | \(-0.647741\pi\) | ||||
−0.447657 | + | 0.894205i | \(0.647741\pi\) | |||||||
\(758\) | −4.83473 | + | 5.76181i | −0.175605 | + | 0.209278i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.86560 | − | 33.2655i | −0.212768 | − | 1.20667i | ||||
\(761\) | 7.15928 | − | 6.00735i | 0.259524 | − | 0.217766i | −0.503737 | − | 0.863857i | \(-0.668042\pi\) |
0.763260 | + | 0.646091i | \(0.223597\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.78287 | − | 3.28041i | 0.136949 | − | 0.118759i | ||||
\(764\) | −10.3695 | − | 5.98683i | −0.375155 | − | 0.216596i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 11.9707i | − | 0.432518i | ||||||
\(767\) | −1.32673 | + | 1.58113i | −0.0479054 | + | 0.0570914i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.02496 | + | 8.31100i | −0.109083 | + | 0.299702i | −0.982209 | − | 0.187792i | \(-0.939867\pi\) |
0.873126 | + | 0.487494i | \(0.162089\pi\) | |||||||
\(770\) | −5.20169 | − | 8.68074i | −0.187456 | − | 0.312832i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 7.48119 | − | 2.72293i | 0.269254 | − | 0.0980004i | ||||
\(773\) | −14.1312 | −0.508263 | −0.254131 | − | 0.967170i | \(-0.581790\pi\) | ||||
−0.254131 | + | 0.967170i | \(0.581790\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 12.4526i | − | 0.447311i | ||||||
\(776\) | 10.7815 | + | 9.04675i | 0.387033 | + | 0.324759i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −6.39392 | − | 36.2617i | −0.229233 | − | 1.30005i | ||||
\(779\) | −8.42598 | + | 23.1502i | −0.301892 | + | 0.829442i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.0391798 | + | 0.222200i | −0.00140196 | + | 0.00795093i | ||||
\(782\) | 18.3347 | + | 31.7566i | 0.655648 | + | 1.13562i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 31.8930 | + | 10.4477i | 1.13904 | + | 0.373132i | ||||
\(785\) | 12.3267 | + | 33.8673i | 0.439958 | + | 1.20878i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −27.1926 | + | 4.79479i | −0.969312 | + | 0.170916i | −0.635820 | − | 0.771837i | \(-0.719338\pi\) |
−0.333492 | + | 0.942753i | \(0.608227\pi\) | |||||||
\(788\) | 0.445503 | − | 1.22401i | 0.0158704 | − | 0.0436035i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2.37633 | + | 2.83200i | −0.0845459 | + | 0.100758i | ||||
\(791\) | 2.26956 | + | 0.362266i | 0.0806962 | + | 0.0128807i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.47323 | − | 2.55171i | 0.0523159 | − | 0.0906137i | ||||
\(794\) | 21.2940 | + | 17.8678i | 0.755697 | + | 0.634105i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 5.52227 | − | 0.973726i | 0.195732 | − | 0.0345128i | ||||
\(797\) | 32.0647 | + | 11.6706i | 1.13579 | + | 0.413394i | 0.840391 | − | 0.541980i | \(-0.182325\pi\) |
0.295399 | + | 0.955374i | \(0.404547\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 5.95978 | − | 33.7996i | 0.210842 | − | 1.19574i | ||||
\(800\) | −3.64935 | − | 2.10695i | −0.129024 | − | 0.0744921i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −17.1694 | − | 29.7382i | −0.606272 | − | 1.05009i | ||||
\(803\) | −2.52326 | + | 14.3101i | −0.0890438 | + | 0.504992i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.467017 | − | 28.7396i | −0.0164602 | − | 1.01294i | ||||
\(806\) | 8.72693 | + | 10.4004i | 0.307393 | + | 0.366337i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 15.8538 | + | 2.79545i | 0.557734 | + | 0.0983436i | ||||
\(809\) | −8.13629 | − | 4.69749i | −0.286057 | − | 0.165155i | 0.350105 | − | 0.936710i | \(-0.386146\pi\) |
−0.636162 | + | 0.771555i | \(0.719479\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 31.3300i | 1.10014i | 0.835117 | + | 0.550072i | \(0.185400\pi\) | ||||
−0.835117 | + | 0.550072i | \(0.814600\pi\) | |||||||
\(812\) | −5.10058 | + | 0.985076i | −0.178995 | + | 0.0345694i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −15.1504 | − | 5.51429i | −0.531021 | − | 0.193276i | ||||
\(815\) | 2.52869 | + | 0.920367i | 0.0885761 | + | 0.0322391i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.85286 | − | 0.855689i | −0.169780 | − | 0.0299368i | ||||
\(818\) | −21.2375 | + | 36.7845i | −0.742554 | + | 1.28614i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.66464 | − | 2.88324i | −0.0581317 | − | 0.100687i | ||||
\(821\) | −2.24413 | − | 6.16570i | −0.0783208 | − | 0.215185i | 0.894352 | − | 0.447363i | \(-0.147637\pi\) |
−0.972673 | + | 0.232179i | \(0.925415\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −17.8354 | + | 14.9657i | −0.621704 | + | 0.521672i | −0.898339 | − | 0.439303i | \(-0.855225\pi\) |
0.276634 | + | 0.960975i | \(0.410781\pi\) | |||||||
\(824\) | 5.18961 | + | 29.4317i | 0.180789 | + | 1.02530i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 8.95162 | − | 1.72883i | 0.311467 | − | 0.0601537i | ||||
\(827\) | −33.9354 | + | 19.5926i | −1.18005 | + | 0.681302i | −0.956026 | − | 0.293282i | \(-0.905252\pi\) |
−0.224023 | + | 0.974584i | \(0.571919\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −31.3173 | + | 18.0811i | −1.08770 | + | 0.627981i | −0.932962 | − | 0.359975i | \(-0.882785\pi\) |
−0.154733 | + | 0.987956i | \(0.549452\pi\) | |||||||
\(830\) | 5.63799 | + | 15.4903i | 0.195698 | + | 0.537675i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −4.50160 | + | 0.793753i | −0.156065 | + | 0.0275184i | ||||
\(833\) | 22.0983 | + | 17.3510i | 0.765662 | + | 0.601177i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 22.9272 | + | 19.2382i | 0.793427 | + | 0.665764i | ||||
\(836\) | 2.64909 | − | 4.58836i | 0.0916206 | − | 0.158692i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −8.04702 | + | 4.64595i | −0.277980 | + | 0.160492i | ||||
\(839\) | 35.7513 | − | 13.0124i | 1.23427 | − | 0.449238i | 0.359212 | − | 0.933256i | \(-0.383045\pi\) |
0.875058 | + | 0.484018i | \(0.160823\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.3288 | − | 10.3451i | 0.425130 | − | 0.356726i | ||||
\(842\) | −5.07166 | − | 6.04417i | −0.174781 | − | 0.208296i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −5.86285 | + | 2.13390i | −0.201808 | + | 0.0734520i | ||||
\(845\) | −22.9353 | −0.789000 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.92202 | − | 24.5710i | 0.134762 | − | 0.844270i | ||||
\(848\) | −61.7866 | − | 10.8946i | −2.12176 | − | 0.374124i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −5.75997 | − | 6.86447i | −0.197565 | − | 0.235449i | ||||
\(851\) | −29.4352 | − | 35.0794i | −1.00902 | − | 1.20251i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −30.3259 | − | 5.34727i | −1.03834 | − | 0.183087i | −0.371611 | − | 0.928389i | \(-0.621194\pi\) |
−0.666728 | + | 0.745301i | \(0.732306\pi\) | |||||||
\(854\) | −12.1560 | + | 4.64946i | −0.415970 | + | 0.159101i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 3.32104 | 0.113511 | ||||||||
\(857\) | 19.0597 | − | 6.93716i | 0.651067 | − | 0.236969i | 0.00469191 | − | 0.999989i | \(-0.498507\pi\) |
0.646375 | + | 0.763020i | \(0.276284\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −22.2737 | − | 26.5448i | −0.759969 | − | 0.905696i | 0.237877 | − | 0.971295i | \(-0.423549\pi\) |
−0.997846 | + | 0.0655991i | \(0.979104\pi\) | |||||||
\(860\) | 0.510130 | − | 0.428050i | 0.0173953 | − | 0.0145964i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −17.6440 | + | 6.42189i | −0.600957 | + | 0.218731i | ||||
\(863\) | 32.8141 | − | 18.9452i | 1.11700 | − | 0.644902i | 0.176369 | − | 0.984324i | \(-0.443565\pi\) |
0.940634 | + | 0.339422i | \(0.110231\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −10.3508 | + | 17.9281i | −0.351938 | + | 0.609574i | ||||
\(866\) | −35.0096 | − | 29.3765i | −1.18967 | − | 0.998255i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.209124 | − | 12.8692i | −0.00709813 | − | 0.436809i | ||||
\(869\) | 1.51862 | − | 0.267773i | 0.0515155 | − | 0.00908357i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.699263 | + | 1.92121i | 0.0236936 | + | 0.0650977i | ||||
\(872\) | 3.80142 | − | 2.19475i | 0.128732 | − | 0.0743237i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 60.7214 | − | 35.0575i | 2.05393 | − | 1.18584i | ||||
\(875\) | 6.09216 | + | 31.5443i | 0.205953 | + | 1.06639i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −2.06483 | − | 11.7102i | −0.0697243 | − | 0.395426i | −0.999619 | − | 0.0276005i | \(-0.991213\pi\) |
0.929895 | − | 0.367826i | \(-0.119898\pi\) | |||||||
\(878\) | −13.1215 | + | 11.0102i | −0.442829 | + | 0.371577i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −3.93040 | − | 10.7987i | −0.132494 | − | 0.364024i | ||||
\(881\) | −19.8758 | − | 34.4258i | −0.669631 | − | 1.15984i | −0.978007 | − | 0.208571i | \(-0.933119\pi\) |
0.308376 | − | 0.951265i | \(-0.400215\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 25.4955 | − | 44.1595i | 0.857992 | − | 1.48609i | −0.0158499 | − | 0.999874i | \(-0.505045\pi\) |
0.873842 | − | 0.486211i | \(-0.161621\pi\) | |||||||
\(884\) | 2.06497 | + | 0.364110i | 0.0694524 | + | 0.0122463i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 24.0301 | + | 8.74623i | 0.807306 | + | 0.293835i | ||||
\(887\) | −25.2472 | − | 9.18922i | −0.847717 | − | 0.308544i | −0.118608 | − | 0.992941i | \(-0.537843\pi\) |
−0.729109 | + | 0.684398i | \(0.760065\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 27.1555 | − | 23.5485i | 0.910765 | − | 0.789792i | ||||
\(890\) | 17.0765i | 0.572407i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 5.19536 | + | 2.99954i | 0.173953 | + | 0.100432i | ||||
\(893\) | −64.6277 | − | 11.3956i | −2.16268 | − | 0.381339i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −28.8368 | − | 34.3664i | −0.963909 | − | 1.14874i | ||||
\(896\) | 31.5779 | + | 17.5537i | 1.05494 | + | 0.586428i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −4.97138 | + | 28.1941i | −0.165897 | + | 0.940849i | ||||
\(899\) | −15.9881 | − | 27.6922i | −0.533234 | − | 0.923588i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −45.4873 | − | 26.2621i | −1.51540 | − | 0.874917i | ||||
\(902\) | −1.12357 | + | 6.37211i | −0.0374109 | + | 0.212168i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.89330 | + | 0.689103i | 0.0629701 | + | 0.0229192i | ||||
\(905\) | 40.4435 | − | 7.13128i | 1.34439 | − | 0.237052i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −30.9893 | − | 26.0031i | −1.02898 | − | 0.863418i | −0.0382522 | − | 0.999268i | \(-0.512179\pi\) |
−0.990729 | + | 0.135850i | \(0.956623\pi\) | |||||||
\(908\) | −4.11291 | + | 7.12377i | −0.136492 | + | 0.236411i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −5.94564 | − | 4.82655i | −0.197096 | − | 0.159999i | ||||
\(911\) | −12.3517 | + | 14.7202i | −0.409231 | + | 0.487702i | −0.930811 | − | 0.365500i | \(-0.880898\pi\) |
0.521581 | + | 0.853202i | \(0.325342\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.35170 | − | 6.46124i | 0.0778299 | − | 0.213836i | ||||
\(914\) | 36.0253 | − | 6.35223i | 1.19161 | − | 0.210113i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.20062 | + | 11.5411i | 0.138792 | + | 0.381329i | ||||
\(917\) | 18.6326 | + | 15.1256i | 0.615302 | + | 0.499490i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.00540 | + | 1.74140i | 0.0331650 | + | 0.0574435i | 0.882132 | − | 0.471003i | \(-0.156108\pi\) |
−0.848966 | + | 0.528447i | \(0.822775\pi\) | |||||||
\(920\) | 4.37558 | − | 24.8152i | 0.144259 | − | 0.818132i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −6.55777 | + | 18.0173i | −0.215969 | + | 0.593369i | ||||
\(923\) | 0.0296486 | + | 0.168146i | 0.000975897 | + | 0.00553459i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 8.57238 | + | 7.19308i | 0.281858 | + | 0.236507i | ||||
\(926\) | − | 1.79045i | − | 0.0588380i | ||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −10.8206 | −0.355204 | ||||||||
\(929\) | 3.28266 | − | 1.19479i | 0.107700 | − | 0.0391998i | −0.287608 | − | 0.957748i | \(-0.592860\pi\) |
0.395308 | + | 0.918548i | \(0.370638\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 33.1766 | − | 42.2539i | 1.08732 | − | 1.38482i | ||||
\(932\) | 5.48490 | − | 15.0696i | 0.179664 | − | 0.493622i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −13.5075 | + | 16.0976i | −0.441980 | + | 0.526731i | ||||
\(935\) | − | 9.62058i | − | 0.314627i | ||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 29.0222 | + | 16.7560i | 0.948114 | + | 0.547394i | 0.892495 | − | 0.451058i | \(-0.148953\pi\) |
0.0556194 | + | 0.998452i | \(0.482287\pi\) | |||||||
\(938\) | 2.95044 | − | 8.53528i | 0.0963353 | − | 0.278687i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 6.79363 | − | 5.70054i | 0.221584 | − | 0.185931i | ||||
\(941\) | 5.86663 | + | 33.2713i | 0.191247 | + | 1.08461i | 0.917663 | + | 0.397359i | \(0.130073\pi\) |
−0.726416 | + | 0.687255i | \(0.758816\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −11.8130 | + | 14.0782i | −0.384684 | + | 0.458448i | ||||
\(944\) | 10.3529 | 0.336958 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.29422 | −0.0420788 | ||||||||
\(947\) | −1.00618 | + | 1.19912i | −0.0326965 | + | 0.0389662i | −0.782145 | − | 0.623097i | \(-0.785874\pi\) |
0.749448 | + | 0.662063i | \(0.230319\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.90943 | + | 10.8289i | 0.0619828 | + | 0.351522i | ||||
\(950\) | −13.1254 | + | 11.0136i | −0.425846 | + | 0.357327i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 16.1367 | + | 18.6084i | 0.522994 | + | 0.603101i | ||||
\(953\) | 13.8156 | + | 7.97645i | 0.447532 | + | 0.258383i | 0.706787 | − | 0.707426i | \(-0.250144\pi\) |
−0.259255 | + | 0.965809i | \(0.583477\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 41.5728i | 1.34526i | ||||||||
\(956\) | 9.76174 | − | 11.6336i | 0.315717 | − | 0.376257i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 12.2187 | − | 33.5707i | 0.394770 | − | 1.08462i | ||||
\(959\) | 46.4532 | + | 25.8227i | 1.50005 | + | 0.833857i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 45.3172 | − | 16.4941i | 1.46184 | − | 0.532068i | ||||
\(962\) | −12.2006 | −0.393363 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | − | 0.0410182i | − | 0.00132111i | ||||||
\(965\) | −21.1749 | − | 17.7678i | −0.681643 | − | 0.571966i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 0.704391 | + | 3.99480i | 0.0226517 | + | 0.128464i | 0.994037 | − | 0.109046i | \(-0.0347797\pi\) |
−0.971385 | + | 0.237510i | \(0.923669\pi\) | |||||||
\(968\) | 7.46047 | − | 20.4975i | 0.239789 | − | 0.658814i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −3.19083 | + | 18.0961i | −0.102451 | + | 0.581031i | ||||
\(971\) | −20.1944 | − | 34.9777i | −0.648068 | − | 1.12249i | −0.983584 | − | 0.180453i | \(-0.942244\pi\) |
0.335515 | − | 0.942035i | \(-0.391090\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.22821 | + | 18.8982i | 0.231726 | + | 0.605847i | ||||
\(974\) | 15.4317 | + | 42.3984i | 0.494465 | + | 1.35853i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −14.5545 | + | 2.56636i | −0.465879 | + | 0.0821471i | ||||
\(977\) | 2.97539 | − | 8.17481i | 0.0951910 | − | 0.261535i | −0.882954 | − | 0.469460i | \(-0.844449\pi\) |
0.978145 | + | 0.207925i | \(0.0666709\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.57852 | − | 5.45647i | 0.146330 | − | 0.174389i | ||||
\(980\) | 1.49232 | + | 7.10494i | 0.0476703 | + | 0.226959i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 29.5226 | − | 51.1346i | 0.942102 | − | 1.63177i | ||||
\(983\) | 25.8458 | + | 21.6872i | 0.824352 | + | 0.691714i | 0.953987 | − | 0.299848i | \(-0.0969360\pi\) |
−0.129635 | + | 0.991562i | \(0.541380\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.45381 | + | 0.785328i | −0.141910 | + | 0.0250226i | ||||
\(986\) | −21.6225 | − | 7.86994i | −0.688600 | − | 0.250630i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.696209 | − | 3.94840i | 0.0221493 | − | 0.125615i | ||||
\(989\) | −3.18346 | − | 1.83797i | −0.101228 | − | 0.0584442i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 12.7307 | + | 22.0503i | 0.404405 | + | 0.700450i | 0.994252 | − | 0.107065i | \(-0.0341453\pi\) |
−0.589847 | + | 0.807515i | \(0.700812\pi\) | |||||||
\(992\) | 4.65543 | − | 26.4022i | 0.147810 | − | 0.838272i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.366427 | − | 0.659178i | 0.0116224 | − | 0.0209079i | ||||
\(995\) | −12.5146 | − | 14.9143i | −0.396739 | − | 0.472815i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 8.61062 | + | 1.51829i | 0.272701 | + | 0.0480846i | 0.308326 | − | 0.951281i | \(-0.400231\pi\) |
−0.0356252 | + | 0.999365i | \(0.511342\pi\) | |||||||
\(998\) | 22.6731 | + | 13.0903i | 0.717705 | + | 0.414367i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 567.2.ba.a.143.6 | 132 | ||
3.2 | odd | 2 | 189.2.ba.a.101.17 | ✓ | 132 | ||
7.5 | odd | 6 | 567.2.bd.a.467.17 | 132 | |||
21.5 | even | 6 | 189.2.bd.a.47.6 | yes | 132 | ||
27.4 | even | 9 | 189.2.bd.a.185.6 | yes | 132 | ||
27.23 | odd | 18 | 567.2.bd.a.17.17 | 132 | |||
189.131 | even | 18 | inner | 567.2.ba.a.341.6 | 132 | ||
189.166 | odd | 18 | 189.2.ba.a.131.17 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.17 | ✓ | 132 | 3.2 | odd | 2 | ||
189.2.ba.a.131.17 | yes | 132 | 189.166 | odd | 18 | ||
189.2.bd.a.47.6 | yes | 132 | 21.5 | even | 6 | ||
189.2.bd.a.185.6 | yes | 132 | 27.4 | even | 9 | ||
567.2.ba.a.143.6 | 132 | 1.1 | even | 1 | trivial | ||
567.2.ba.a.341.6 | 132 | 189.131 | even | 18 | inner | ||
567.2.bd.a.17.17 | 132 | 27.23 | odd | 18 | |||
567.2.bd.a.467.17 | 132 | 7.5 | odd | 6 |